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Calculus / Calculus: Early Transcendentals 1 / Chapter 6.6 / Problem 52E

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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A calorie-free milkshake Suppose a cylindrical glass with

Chapter 2, Problem 52E

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QUESTION:

A calorie-free milkshake? Suppose a cylindrical glass with a diameter of m and a height of m is filled to the brim with a 400-Cal milkshake. If you have a straw that is 1.1 m long (so the top of the straw is 1 m above the lip of the glass), do you burn off all the calories in the milkshake in drinking it? Assume that the density of the milkshake is 1 g/cm3(1 Cal = 4184 J).

Questions & Answers

QUESTION:

A calorie-free milkshake? Suppose a cylindrical glass with a diameter of m and a height of m is filled to the brim with a 400-Cal milkshake. If you have a straw that is 1.1 m long (so the top of the straw is 1 m above the lip of the glass), do you burn off all the calories in the milkshake in drinking it? Assume that the density of the milkshake is 1 g/cm3(1 Cal = 4184 J).

ANSWER:

Step 1 of 3

is the density of the milk shake

is the lifting distance and because the top of the straw is above the bottom of the glass is equal to

Boundaries

,

is the cross sectional area of the glass with the height

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